Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
Answer:
(0,-2), (5,0) and (10,2).
Step-by-step explanation:
Given equation is
.
Now we need to find 3 pairs of solutions in (x,y) form for the given equation.
As
is a linear equation so we are free to pick any number for x like x=0, 5, 10
Plug x=0 into
, we get:





Hence first solution is (0,-2)
We can repeat same process with x=5 and 10 to get the other solutions.
Hence final answer is (0,-2), (5,0) and (10,2).
Answer:
324900
Step-by-step explanation:
Answer:

Step-by-step explanation:
There are a couple of equivalent expressions to the function
. For example:

Factor:

If you add the terms inside the parentheses:

Basically you can add the like terms from the start and get the same result.

Therefore:

Answer:
i think the answer is A. 2x^3y^2